GCD of 643, 220, 936, 649 Calculator

Given Input numbers are 643, 220, 936, 649

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 643, 220, 936, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 220, 936, 649 is 1.

Therefore, GCD of numbers 643, 220, 936, 649 is 1

Given Input Data is 643, 220, 936, 649

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 643 is 643

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 649 is 11 x 59

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(643, 220) = 141460

GCD(643, 220) = ( 643 x 220 ) / 141460

GCD(643, 220) = 141460 / 141460

GCD(643, 220) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 936

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 936) = 936

GCD(1, 936) = ( 1 x 936 ) / 936

GCD(1, 936) = 936 / 936

GCD(1, 936) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 643, 220, 936, 649 is 1

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1. What is the GCD of 643, 220, 936, 649?

GCD of 643, 220, 936, 649 is 1

2. Where do I get the detailed procedure to find GCD of 643, 220, 936, 649?

You can find a detailed procedure to find GCD of 643, 220, 936, 649 on our page.

3. How to find GCD of 643, 220, 936, 649 on a calculator?

You can find the GCD of 643, 220, 936, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.